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Simplifying 10x + 15 = 12x + -30 Reorder the terms: 15 + 10x = 12x + -30 Reorder the terms: 15 + 10x = -30 + 12x Solving 15 + 10x = -30 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 15 + 10x + -12x = -30 + 12x + -12x Combine like terms: 10x + -12x = -2x 15 + -2x = -30 + 12x + -12x Combine like terms: 12x + -12x = 0 15 + -2x = -30 + 0 15 + -2x = -30 Add '-15' to each side of the equation. 15 + -15 + -2x = -30 + -15 Combine like terms: 15 + -15 = 0 0 + -2x = -30 + -15 -2x = -30 + -15 Combine like terms: -30 + -15 = -45 -2x = -45 Divide each side by '-2'. x = 22.5 Simplifying x = 22.5
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